Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 762, 83598 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 762, 83598 is 6 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 762, 83598 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 762, 83598 is 6.
HCF(762, 83598) = 6
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 762, 83598 is 6.
Step 1: Since 83598 > 762, we apply the division lemma to 83598 and 762, to get
83598 = 762 x 109 + 540
Step 2: Since the reminder 762 ≠ 0, we apply division lemma to 540 and 762, to get
762 = 540 x 1 + 222
Step 3: We consider the new divisor 540 and the new remainder 222, and apply the division lemma to get
540 = 222 x 2 + 96
We consider the new divisor 222 and the new remainder 96,and apply the division lemma to get
222 = 96 x 2 + 30
We consider the new divisor 96 and the new remainder 30,and apply the division lemma to get
96 = 30 x 3 + 6
We consider the new divisor 30 and the new remainder 6,and apply the division lemma to get
30 = 6 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 762 and 83598 is 6
Notice that 6 = HCF(30,6) = HCF(96,30) = HCF(222,96) = HCF(540,222) = HCF(762,540) = HCF(83598,762) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 762, 83598?
Answer: HCF of 762, 83598 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 762, 83598 using Euclid's Algorithm?
Answer: For arbitrary numbers 762, 83598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.